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Simplifying x4 + -169 = 0 Reorder the terms: -169 + x4 = 0 Solving -169 + x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '169' to each side of the equation. -169 + 169 + x4 = 0 + 169 Combine like terms: -169 + 169 = 0 0 + x4 = 0 + 169 x4 = 0 + 169 Combine like terms: 0 + 169 = 169 x4 = 169 Simplifying x4 = 169 Reorder the terms: -169 + x4 = 169 + -169 Combine like terms: 169 + -169 = 0 -169 + x4 = 0 Factor a difference between two squares. (13 + x2)(-13 + x2) = 0Subproblem 1
Set the factor '(13 + x2)' equal to zero and attempt to solve: Simplifying 13 + x2 = 0 Solving 13 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x2 = 0 + -13 x2 = 0 + -13 Combine like terms: 0 + -13 = -13 x2 = -13 Simplifying x2 = -13 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-13 + x2)' equal to zero and attempt to solve: Simplifying -13 + x2 = 0 Solving -13 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x2 = 0 + 13 x2 = 0 + 13 Combine like terms: 0 + 13 = 13 x2 = 13 Simplifying x2 = 13 Take the square root of each side: x = {-3.605551275, 3.605551275}Solution
x = {-3.605551275, 3.605551275}
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